Theorems · Theorem · logic and foundations
Directed.rel_sequence
∀ {α : Type u_1} {β : Type u_2} [inst : Encodable α] [inst_1 : Inhabited α] {r : β → β → Prop} {f : α → β}
(hf : Directed r f) (a : α), r (f a) (f (Directed.sequence f hf (Encodable.encode a + 1)))- Defined in
- Mathlib.Logic.Encodable.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Directedstatement and proof · cited by 213
- Encodablestatement and proof · cited by 140
- Encodable.encodestatement and proof · cited by 118
- Encodable.encodekproof · cited by 27
- Directed.sequencestatement and proof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Directed.sequence_leproof · cited by 1
- Directed.le_sequenceproof · cited by 1